http://dspace.bsu.edu.ru/handle/123456789/61798| Title: | On Solvability of Certain Non-Standard Elliptic Problems |
| Authors: | Vasilyev, V. Chernova, O. Lukinova, O. |
| Keywords: | mathematics mathematical analysis elliptic problems integral equation boundary value problems |
| Issue Date: | 2023 |
| Citation: | Vasilyev, V. On Solvability of Certain Non-Standard Elliptic Problems / V. Vasilyev, O. Chernova, O. Lukinova // AIP Conference Proceedings. - 2023. - Vol.2781, №1.-Art. 020004. - (Modern Problems of Applied Mathematics and Information Technology (MPAMIT 2021), Fergana, Uzbekistan, 15-17 November 2021). |
| Abstract: | We consider a model elliptic pseudo-differential equation in a 4-wedge conical canonical 3D singular domain with two parameters. It is shown that the solution of a special boundary value problem for this equation can have a limit with respect to endpoint values of the parameters in appropriate Sobolev - Slobodetskii space if the boundary function is a solution of a special functional singular integral equation |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/61798 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Vasilev_Solvability_23.pdf | 413.25 kB | Adobe PDF | View/Open |
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